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LCM of 3707, 2022

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 3707, 2022 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 3707, 2022. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3707,2022

Given numbers are 3707,2022

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 3707,2022 is 22242.

Find LCM of 3707,2022 with Prime Factorization


337 3707, 2022
11, 6

Multiply the prime numbers at the bottom and the left side.

337 x 11 x 6 = 22242

Therefore, the lowest common multiple of 3707,2022 is 22242.

LCM Formula to Find Lowest Common Multiple of 3707,2022

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

3707 x 2022 = 7495554

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

3707 : 1, 11, 337, 3707

2022 : 1, 2, 3, 6, 337, 674, 1011, 2022

337 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3707,2022, is 337.

Now, the common factors can be found like this.

3707:11x 337

2022:2x 3x 337

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7495554/(337x1)

LCM = 7495554/337

LCM = 22242

Thus, we can understand that the LCM of 3707,2022 is 22242.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3707, 2022

1. What is the LCM of 3707, 2022?

Answer: LCM of 3707, 2022 is 22242.

2. How to calculate the LCM of 3707, 2022?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 3707, 2022.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.